Parameter-Free and Nonparametric Tolerance Limits : The Exponential Case.

by Leo A. Goodman, Albert Madansky

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The development of exact parameter-free tolerance intervals based on the first [r]-ordered observations from a sample of size [n] from an exponential distribution. The authors examine various criteria for goodness of tolerance intervals, as well as the asymptotic behavior and certain optimum properties of these intervals. Comparisons are made between these intervals and the nonparametric tolerance intervals. The paper also discusses the effect of assuming an exponential distribution, when in fact the distribution is a mixture of two exponentials. 39 pp. Ref.

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